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Finding the Fourth Proportional to 8,200.53, 11,317.68 and 4,664.30

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Solution

The fourth proportional to 8,200.53, 11,317.68 and 4,664.30 is: 6,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.53 : 11,317.68 = 4,664.30 : x
  2. Step 2: Convert to fraction form
    8,200.53/11,317.68 = 4,664.30/x
  3. Step 3: Cross multiply
    8,200.53x = 11,317.68 × 4,664.30
  4. Step 4: Simplify right side
    8,200.53x = 52,788,998.24
  5. Step 5: Solve for x
    x = 52,788,998.24/8,200.53
  6. Step 6: Final answer
    x = 6,437.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.